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Finding the Fourth Proportional to 188,447.52, 282,669.84 and 48,205.92

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Solution

The fourth proportional to 188,447.52, 282,669.84 and 48,205.92 is: 72,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,447.52 : 282,669.84 = 48,205.92 : x
  2. Step 2: Convert to fraction form
    188,447.52/282,669.84 = 48,205.92/x
  3. Step 3: Cross multiply
    188,447.52x = 282,669.84 × 48,205.92
  4. Step 4: Simplify right side
    188,447.52x = 13,626,359,693.45
  5. Step 5: Solve for x
    x = 13,626,359,693.45/188,447.52
  6. Step 6: Final answer
    x = 72,308.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.